Integral group ring of the Mathieu simple group M23

2006/12/21 by Victor Bovdi, V. A. Bovdi, Bovdi, V. A. +3 · 3 citations
Computer Science · Mathematics · #16S34 #20C05 #20D08 #Advanced Topics in Algebra #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.RA #math.RT #msc:16S34 #msc:20C05 #msc:20D08

paper · pdf · doi:10.48550/arxiv.math/0612640

9 pages, updated bibliography and corrected part (i) of the Theorem

openalex publication_date 2006/12/21 · arxiv created 2007/05/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate the classical Zassenhaus conjecture for the unit group of the integral group ring of Mathieu simple group M23 using the Luthar-Passi method. This work is a continuation of the research that we carried out for Mathieu groups M11 and M12. As a consequence, for this group we confirm Kimmerle's conjecture on prime graphs.

Citations

• Partial augmentations and Brauer character values of torsion units in group rings

Cited by

• Integral group ring of Rudvalis simple group
• Torsion units in integral group ring of the Mathieu simple group M22
• Integral group ring of the McLaughlin simple group

Related

• Integral group ring of the Mathieu simple group M24
• Integral group ring of Rudvalis simple group
• Integral group ring of the Suzuki sporadic simple group
• Integral group ring of the McLaughlin simple group
• Torsion units in integral group ring of Higman-Sims simple group